Entanglement entropy is emerging as a useful quantity to study critical phenomena in quantum systems, black holes physics, and holography. In this presentation, we discuss entanglement properties of gauge theories and ...

We describe our investigations into various formal properties of Feynman integrals and of scattering amplitudes obtained from studying algebraic structures. There are variety of ways to study these properties. Out of which, ...

We begin with the Principle of holography and the AdS/CFT correspondence. We begin our investigations by considering the Principle of Holography, at the level of codimension-1 screens. We argue that the mechanism of encoding ...

This thesis consists of four parts. In the first part of the thesis, we investigate the phase structure of Einstein-Maxwell-Scalar system with a negative cosmological constant. For the conformally coupled scalar, an ...

In this thesis we study the applications of Mathieu moonshine symmetry to compacti cations of supersymmetric string theories. These theories are compacti ed on a 6 dimensional manifold K3 T2. The main ingredient in ...

Yang-Mills theory is a non-Abelian gauge theory based on the gauge group SU(N), and lies at the heart of the QCD, the theory underlying strong interactions. Due to the fundamental property of asymptotic freedom, a study ...

Projective measurement is used as a fundamental axiom in quantum mechanics, even though it is discontinuous and cannot predict which measured operator eigen state will be observed in which experimental run. The probabilistic ...